A255758 Number of (3+2)X(n+2) 0..1 arrays with every 3X3 subblock sum of the medians of the diagonal and antidiagonal minus the two sums of the central row and column nondecreasing horizontally, vertically and ne-to-sw antidiagonally

8776, 20730, 51064, 111064, 197284, 341801, 551068, 880000, 1327924, 1998692, 2971672, 4392340, 6337544, 9143648, 13228340, 19227692, 27421084, 39340572, 56929636, 83008296, 118940192, 171589464, 250432040, 368083568, 531423924

Offset

1,1

Comments

Row 3 of A255756

Links

R. H. Hardin, Table of n, a(n) for n = 1..210

Formula

Empirical: a(n) = 4*a(n-1) -5*a(n-2) +a(n-3) +11*a(n-4) -36*a(n-5) +40*a(n-6) -2*a(n-7) -42*a(n-8) +89*a(n-9) -70*a(n-10) -39*a(n-11) +62*a(n-12) -2*a(n-13) -80*a(n-14) +148*a(n-15) -13*a(n-16) -159*a(n-17) +155*a(n-18) -76*a(n-19) -57*a(n-20) +88*a(n-21) +40*a(n-22) -96*a(n-23) +56*a(n-24) +16*a(n-25) -80*a(n-26) +64*a(n-27) -16*a(n-28) for n>47

Example

Some solutions for n=4
..0..0..0..1..1..1....0..0..1..1..0..0....1..1..1..0..0..1....0..1..1..1..1..1
..1..0..1..1..1..0....0..1..0..1..0..1....1..1..1..1..0..0....1..1..1..1..1..1
..1..1..1..0..1..1....1..1..0..0..1..1....1..1..0..0..1..1....1..0..0..0..0..0
..0..1..0..0..0..0....1..0..1..0..0..0....0..0..0..0..0..0....0..0..0..0..0..0
..1..1..1..1..0..1....1..0..1..1..1..1....1..0..1..1..0..0....0..0..0..0..0..0

Crossrefs

Cf. A255756

Sequence in context: A205254 A061665 A237484 * A255751 A254840 A156083

Adjacent sequences: A255755 A255756 A255757 * A255759 A255760 A255761

Keyword

nonn

Author

R. H. Hardin, Mar 05 2015

Status

approved